On Cycles in Flag Manifolds.
H.C. Hansen (1973)
Mathematica Scandinavica
B. Gordon, R.M. Guralnick, M. Miller (1978)
Aequationes mathematicae
B. Gordon, R.M. Guralnick, M. Miller (1978)
Aequationes mathematicae
Vlastimil Dlab (1960)
Czechoslovak Mathematical Journal
Troels Jorgensen (1973)
Mathematica Scandinavica
L. Konguetsof, Thomas N. Vougiouklis, M. Kessoglides, St. Spartalis (1987)
Acta Universitatis Carolinae. Mathematica et Physica
Shokuev, V. N. (2001)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
Bardakov, V.G. (2004)
Sibirskij Matematicheskij Zhurnal
E.T. Ljubenova (1981)
Aequationes mathematicae
S. Topa (1976)
Annales Polonici Mathematici
Ruifang Chen, Xianhe Zhao (2017)
Czechoslovak Mathematical Journal
Let be a finite group. A normal subgroup of is a union of several -conjugacy classes, and it is called -decomposable in if it is a union of distinct -conjugacy classes. In this paper, we first classify finite non-perfect groups satisfying the condition that the numbers of conjugacy classes contained in its non-trivial normal subgroups are two consecutive positive integers, and we later prove that there is no non-perfect group such that the numbers of conjugacy classes contained in its...
Chekhlov, A.R. (2001)
Sibirskij Matematicheskij Zhurnal
Scevenels, Dirk (1999)
International Journal of Mathematics and Mathematical Sciences
Marshall Saade (1972)
Časopis pro pěstování matematiky
Heiner Zieschang (1976)
Mathematische Zeitschrift
R.K. Jain (1982)
Semigroup forum
Marcel Herzog, Federico Menegazzo (1995)
Rendiconti del Seminario Matematico della Università di Padova
Frigerio, Roberto (2006)
Algebraic & Geometric Topology
Paulius Drungilas, Artūras Dubickas (2016)
Colloquium Mathematicae
Let α, β and γ be algebraic numbers of respective degrees a, b and c over ℚ such that α + β + γ = 0. We prove that there exist algebraic numbers α₁, β₁ and γ₁ of the same respective degrees a, b and c over ℚ such that α₁ β₁ γ₁ = 1. This proves a previously formulated conjecture. We also investigate the problem of describing the set of triplets (a,b,c) ∈ ℕ³ for which there exist finite field extensions K/k and L/k (of a fixed field k) of degrees a and b, respectively, such that the degree of the...
Scott T. Chapman, Felix Gotti, Roberto Pelayo (2014)
Colloquium Mathematicae
Let M be a commutative cancellative monoid. The set Δ(M), which consists of all positive integers which are distances between consecutive factorization lengths of elements in M, is a widely studied object in the theory of nonunique factorizations. If M is a Krull monoid with cyclic class group of order n ≥ 3, then it is well-known that Δ(M) ⊆ {1,..., n-2}. Moreover, equality holds for this containment when each class contains a prime divisor from M. In this note, we consider the question of determining...